Geometry-Part 8.

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Presentation transcript:

Geometry-Part 8

The total area of all of the surfaces of a 3-D figure is called the Surface Area. The Surface Area of a 3-D figure can be found by drawing a 2-Dimensional Net, which shows all faces and bases of the figure. Area formulas can be used to find the area of each section of the Net. Nets can also help us visualize the 3-D figure in order to develop formulas to find the surface area of the figure. The general form for surface area of a prism is SA=LA+2B, where the Lateral Area (LA) is the area of all of the faces of the object, and B represents the base area.

Rectangular Prism Draw a net for the rectangular prism. Then, use the net to determine the formula for the Surface Area of rectangular prisms.

Example Find the surface area of the rectangular prism using a net and the surface area formula.

Cube Draw a net for the cube. Then, use the net to determine the formula for the Surface Area of cubes.

Example

Triangular Prism Draw a net for the rectangular prism. Then, use the net to determine the formula for the Surface Area of triangular prisms

Example Find the surface area of the triangular prism using a net and the surface area formula.

Cylinders Draw a net for the cylinder. Then, use the net to determine the formula for the Surface Area of cylinders.

Example Find the surface area of the cylinder using a net and the surface area formula.